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468541395 = 33572321557
BaseRepresentation
bin11011111011010…
…101111111010011
31012122122100222000
4123323111333103
51424421311040
6114254245043
714416351620
oct3373257723
91178570860
10468541395
112205300a3
12110ab6783
13760bc23a
1446327347
152b202130
hex1bed5fd3

468541395 has 64 divisors (see below), whose sum is σ = 993392640. Its totient is φ = 204868224.

The previous prime is 468541357. The next prime is 468541421. The reversal of 468541395 is 593145864.

468541395 is a `hidden beast` number, since 468 + 54 + 139 + 5 = 666.

It is not a de Polignac number, because 468541395 - 211 = 468539347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 468541395.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10957 + ... + 32513.

It is an arithmetic number, because the mean of its divisors is an integer number (15521760).

Almost surely, 2468541395 is an apocalyptic number.

468541395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468541395 is an abundant number, since it is smaller than the sum of its proper divisors (524851245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468541395 is a wasteful number, since it uses less digits than its factorization.

468541395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21601 (or 21595 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 468541395 is about 21645.8170323968. The cubic root of 468541395 is about 776.6928766372.

The spelling of 468541395 in words is "four hundred sixty-eight million, five hundred forty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 7245 21557 21735 64671 107785 150899 194013 323355 452697 495811 582039 754495 970065 1358091 1487433 2263485 2479055 2910195 3470677 4074273 4462299 6790455 7437165 10412031 13386897 17353385 20371365 22311495 31236093 52060155 66934485 93708279 156180465 468541395